14464900 has 36 divisors (see below), whose sum is σ = 31803520. Its totient is φ = 5709600.

The previous prime is 14464897. The next prime is 14464963. The reversal of 14464900 is 946441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6985 + ... + 8815.

Almost surely, 2^14464900 is an apocalyptic number.

14464900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14464900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901760).

14464900 is an abundant number, since it is smaller than the sum of its proper divisors (17338620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14464900 is a wasteful number, since it uses less digits than its factorization.

14464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 14464900 is about 3803.2749046052. The cubic root of 14464900 is about 243.6530273913.

The spelling of 14464900 in words is "fourteen million, four hundred sixty-four thousand, nine hundred".